%0 Journal Article
%T 非自治的Kuramoto-Sivashinsky方程的拉回吸引子的后项紧性<br>Backward Compactness of Pullback Attractors for the Non-Autonomous Kuramoto-Sivashinsky Equation
%A 范红瑞
%A 王仁海
%A 李扬荣
%A 佘连兵&lt
%A br&gt
%A FAN Hong-rui
%A WANG Ren-hai
%A LI Yang-rong
%A SHE Lian-bin
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.03.014
%X 本文运用一个关于后项紧的拉回吸引子的存在性定理，证明了非自治的Kuramoto-Sivashinsky方程在外力项是后项<i>λ</i>-缓增有限的假设条件下存在一个唯一的后项紧的拉回吸引子.后项一致Gronwa引理是证明相应系统的后项渐进紧性的关键.<br>Under the light of a theory for the existence of backward compact pullback attractors, it is shown that the non-autonomous Kuramoto-Sivashinsky equation has a backward compact pullback attractor under an assumption of λ-tempered finiteness for the force. A backward uniform Gronwall lemma is essential for proving the backward asymptotical compactness of corresponding systems
%K 非自治的Kuramoto-Sivashinsky方程
%K 拉回吸引子
%K 后项紧性
%K 非自治动力系统
%K 后项一致Gronwa引理&lt
%K br&gt
%K non-autonomous Kuramoto-Sivashinsky equation
%K pullback attractor
%K backward compactness
%K non-autonomous dynamic system
%K backward uniform Gronwall lemma
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/3/201803014.htm